An adaptive fuzzy filter for image denoising

W. Zhang, M. Kumar, J. Yang, Y. Zhou, Y. Mao. An adaptive fuzzy filter for image denoising. Cluster Computing, volume 22, pages 14107-14124, DOI 10.1007/s10586-018-2253-5, 11, 2019.

Autoren
  • Weiping Zhang
  • Mohit Kumar
  • Jingzhi Yang
  • Yunfeng Zhou
  • Yihua Mao
TypArtikel
JournalCluster Computing
Band22
DOI10.1007/s10586-018-2253-5
ISSN1386-7857
Monat11
Jahr2019
Seiten14107-14124
Abstract

This study considers the problem of fuzzy modeling of the images in pixel domain. A zero-order Takagi–Sugeno type fuzzy model provides fuzzy smoothing to the image intensities for removing the additive noise from an image. An adaptive fuzzy filtering algorithm is suggested for estimating the parameters of the fuzzy model with noisy image data. The mathematical analysis of the proposed filtering algorithm has been provided in both deterministic and stochastic framework. The deterministic robustness of the filtering algorithm was shown by deriving an upper bound on the magnitude of estimation errors. The fuzzy filtering algorithm doesn’t demand Gaussian assumption of the noise and is also optimal in the “sense” of variation Bayes towards Student-t distributed noises.